Question

Задача. Из одного пункта в одном направлении одновременно выехали два всадника .через 5 ч. после начала движения расстояние между ними было 6 км. скорость 1 всадника 8,4 км/ч найти скорость 2 всадника, сколько решений имеет задача.

Answer 1

1 способ
1) 6:5 =1,2 км/час - скорость сближения
2)  8,4 - 1,2 = 7,2 км/час - скорость второго всадника
2 способ
1) 8,4 * 5 = 42 км - прошел 1  всадник
2) 42 - 6 = 36 км - прошел 2 всадник
3)  36:5 = 7,2 км/час - скорость 2 всадника

Answer 2

Task Analysis

The problem involves two riders starting from the same point in the same direction. After 5 hours, the distance between them is 6 km, and the speed of the first rider is given as 8.4 km/h. The task is to find the speed of the second rider and determine how many solutions the problem has.

Solution

To find the speed of the second rider, we can use the formula: distance = speed * time. Since the distance between the riders is increasing at a constant rate, we can set up an equation to solve for the speed of the second rider.

Let's denote the speed of the second rider as v km/h. After 5 hours, the first rider has covered a distance of 8.4 * 5 = 42 km. At the same time, the second rider has covered a distance of v * 5 = 5v km. The difference in their distances after 5 hours is given as 6 km.

So, the equation becomes: 42 - 5v = 6

Solving for v: 5v = 42 - 6 5v = 36 v = 36 / 5 v = 7.2 km/h

Therefore, the speed of the second rider is 7.2 km/h.

Number of Solutions

The problem has one solution, as the speed of the second rider can be uniquely determined based on the given information.

Conclusion

The speed of the second rider is 7.2 km/h, and the problem has one solution.